Solve the Problem. -When a Person Bends at the Waist with a Straight

question 106

Multiple Choice

Solve the problem.
-When a person bends at the waist with a straight back, the force, F, exerted by the person's lower back muscles can be estimated with the formula F = 2.89w sin (ϴ + 90°) , where w is the person's
Weight, and ϴ is the angle made by the person's torso relative to the horizontal. Suppose that a
120-pound person bends at an angle of 30°. Determine the force exerted by the person's back
Muscles, and estimate the angle that requires the back muscles to exert a force of 208 pounds.
Round the force to the nearest pound, and the angle to the nearest tenth, if necessary.

• A)300 pounds; 30°
• B)300 pounds; 53.1°
• C)26 pounds; 53.1°
• D)173 pounds; 47.3°

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